Question

When the mean value theorem does apply?

• A. Function needs to be continuous
• B. Function needs to be differentiable
• C. Function needs to be non-differentiable
• D. None of the above

Answer 1

Answer: (A), (B)

Function needs to be continuous
Function needs to be differentiable

Suppose $f$ is a function that satisfies both of the following:

$1.$ $f$ is continuous on the closed interval $[a,b]$.

$2.$ $f$ is differentiable on the open interval $(a,b)$.

only then MVT is applicable